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Finding the Fourth Proportional to 298,077.42, 447,021.24 and 98,360.58

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Solution

The fourth proportional to 298,077.42, 447,021.24 and 98,360.58 is: 147,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,077.42 : 447,021.24 = 98,360.58 : x
  2. Step 2: Convert to fraction form
    298,077.42/447,021.24 = 98,360.58/x
  3. Step 3: Cross multiply
    298,077.42x = 447,021.24 × 98,360.58
  4. Step 4: Simplify right side
    298,077.42x = 43,969,268,438.72
  5. Step 5: Solve for x
    x = 43,969,268,438.72/298,077.42
  6. Step 6: Final answer
    x = 147,509.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.